Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.1 Question 2 Subquestion (i) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.1 Question 2 Subquestion (i) Maths Textbook Solution.

Answers (1)

Answer:
\frac{-\pi }{3}
Hint:
2\sin^{-1}x= \sin^{-1}\left ( 2x\sqrt{1-x^{2}} \right )
Given:
Find\, principal \, value\, o\! f \sin^{-1}\frac{1}{2}-2\sin^{-1}\frac{1}{\sqrt{2}}
Solution:
\sin^{-1}\frac{1}{2}-2\sin^{-1}\frac{1}{\sqrt{2}}
= \sin^{-1}\frac{1}{2}-\sin^{-1}\left ( 2\times \frac{1}{\sqrt{2}}\sqrt{1-\left ( \frac{1}{\sqrt{2}} \right )^{2}} \right )              
= \sin^{-1}\frac{1}{2}-\sin^{-1}1
= \frac{\pi }{6}-\frac{\pi }{2}
= \frac{-\pi }{3}
There\! fore, principal\, value\, o\! f \sin^{-1}\frac{1}{2}-2\sin^{-1}\frac{1}{\sqrt{2}} \, is = \frac{-\pi }{3}.

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question